There are really two fundamentally different types of semi gloss paper:
(These papers often say gloss on the box but in reality they're usually more of a semi-gloss really).
Ilford Gold Fibre Gloss - The newest semi-gloss fibre based paper to enter the market and has rapidly become our first choice!
Canson Infinity Platine Fibre Rag - Very consistent, excellent brightness and grey scale with no optical brighteners used, and with great handling characteristics. This is unquestionably one of the best papers in this class, and the finish is less aggressively sparkly than say Silver Rag below, and it's just a really gorgeous paper. We've now moved all our in house printing from Silver Rag to Platine, we like it that much.
Museo Silver Rag - (originally Crane Silver Rag) This was the first to market of this new type of paper in 2006, and became a beloved option. To this day many still think this is the best of these papers. Surface has some texture and is at the glossier end of things. It has the most amazing long tonal range and is very strong (much stronger than the newer 'baryta' papers). Perfect for work that is not going to be framed. Over the years there have been some consistency issues with this paper, but these appear to have been ironed out now.
Epson Traditional Photo Paper - (sold in the US as Epson Exhibition Fibre) Pretty much the only Epson paper we really recommend, this is a remarkable paper with very clean whites (it's loaded with optical brighteners to make things really pop!) - very deep blacks, and a nice unobtrusive surface. For those occasions when you want maximum impact from your images!
Ilford Smooth Pearl - Classic pearl surface with considerable sparkle. Beautiful photographic results and the most popular inkjet paper in the world. Pretty much a perfect day to day photo paper for things like your family portraits really.
Canson Infinity PhotoSatin - Has a less sparkly surface than the Ilford paper and is the paper I often personally use for all our family photos - a classy alternative.